Approximate foveated images and reconstruction of their uniform pre-images

  • Authors:

  • Victor Didenko;Seng Luan Lee;Steffen Roch;Bernd Silbermann

  • Affiliations:

  • Department of Mathematics, Universiti Brunei Darussalam, Bandar Seri Begawan BE1410, Brunei;Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore;Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany;Fachbereich Mathematik, Technische Universität Chemnitz, 09107 Chemnitz, Germany

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2007

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Abstract

Approximate foveated images can be obtained from uniform images via the approximation of some integral operators. In this paper it is shown that these operators belong to a well-studied operator algebra, and the problem of restoration of the approximate uniform pre-images is considered. Under common assumptions on smoothness of the integral operator kernels, necessary and sufficient conditions are established for such procedure to be feasible.